document.write( "Question 152984: Shadi has 4.60 in quarters, dimes, and nickels. She has three more dimes than nickels and three more quarters than dimes. How many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #112447 by orca(409) ![]() You can put this solution on YOUR website! Let x be the number of dimes, then the number of nickels is x - 3, the number of quarters is x + 3. \n" ); document.write( "Their total value is 10x + 5(x - 3) + 25(x + 3) \n" ); document.write( "As the total value is $4.60(or 460 cents), we can set up an equation: \n" ); document.write( "10x + 5(x - 3) + 25(x + 3) = 460 \n" ); document.write( "Solving for x, we have \n" ); document.write( "10x + 5x - 15 + 25x + 75 = 460 \n" ); document.write( "40x = 400 \n" ); document.write( "x = 10 \n" ); document.write( "So the number of dimes is 10. \n" ); document.write( "The number of nickels is x - 3 = 10 - 3 = 7. \n" ); document.write( "The number of quarters is x + 3 = 10 + 3 = 13.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |